دورية أكاديمية

Global existence and blow-up of solution to a class of fourth-order equation with singular potential and logarithmic nonlinearity

التفاصيل البيبلوغرافية
العنوان: Global existence and blow-up of solution to a class of fourth-order equation with singular potential and logarithmic nonlinearity
المؤلفون: Xiulan Wu, Yaxin Zhao, Xiaoxin Yang
المصدر: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 55, Pp 1-16 (2023)
بيانات النشر: University of Szeged, 2023.
سنة النشر: 2023
المجموعة: LCC:Mathematics
مصطلحات موضوعية: fourth-order, singular potential, logarithmic nonlinearity, global existence, blow-up, Mathematics, QA1-939
الوصف: In this paper, we consider the well-posedness and asymptotic behavior of Dirichlet initial boundary value problem for a fourth-order equation with strong damping and logarithmic nonlinearity. We establish the local solvability by the technique of cut-off combining with the method of Faedo–Galerkin approximation. By means of potential well method and Rellich inequality, we obtain the global existence and the decay estimate of global solutions under some appropriate conditions. Furthermore, we prove the finite time blow-up results of weak solutions, and establish the upper and lower bounds for blow-up time.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1417-3875
Relation: http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=10636; https://doaj.org/toc/1417-3875
DOI: 10.14232/ejqtde.2023.1.55
URL الوصول: https://doaj.org/article/aea98d334b2143bd8f88ed423c02a847
رقم الأكسشن: edsdoj.98d334b2143bd8f88ed423c02a847
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:14173875
DOI:10.14232/ejqtde.2023.1.55